An engineer wants to design an oval racetrack such that 3.20×103 lb racecars can round the exactly 1000 ft radius turns at 98 mi/h without the aid of friction. she estimates that the cars will round the turns at a maximum of 175 mi/h. find the banking angle theta necessary for the race cars to navigate the turns at 98 mi/h without the aid of friction.

Explanation:

The first step is take all the information in the same units so the speed is going to pass in ft/s^2

Now the velocity for a oval racetrack is

β= the angle necessary for the race cars at 98 mi/h so

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y